51038237250 has 1536 divisors, whose sum is σ = 207235252224. Its totient is φ = 8709120000.

The previous prime is 51038237231. The next prime is 51038237279. The reversal of 51038237250 is 5273283015.

It is a happy number.

51038237250 is a `hidden beast` number, since 510 + 3 + 8 + 23 + 72 + 50 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1186935729 + ... + 1186935771.

It is an arithmetic number, because the mean of its divisors is an integer number (134918784).

Almost surely, 2^51038237250 is an apocalyptic number.

51038237250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51038237250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103617626112).

51038237250 is an abundant number, since it is smaller than the sum of its proper divisors (156197014974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51038237250 is a wasteful number, since it uses less digits than its factorization.

51038237250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 51038237250 in words is "fifty-one billion, thirty-eight million, two hundred thirty-seven thousand, two hundred fifty".